Simplify (12^4)/(18^4)

$\frac{12^{4}}{18^{4}}$

Step 1

Evaluate the exponents.

Raise $12$ to the power of $4$ .

$\frac{20736}{18^{4}}$

Raise $18$ to the power of $4$ .

$\frac{20736}{104976}$

Step 2

Cancel the common factor of $20736$ and $104976$ .

Factor $1296$ out of $20736$ .

$\frac{1296 (16)}{104976}$

Cancel the common factors.

Factor $1296$ out of $104976$ .

$\frac{1296 \cdot 16}{1296 \cdot 81}$

Cancel the common factor.

$\frac{1296 \cdot 16}{1296 \cdot 81}$

Rewrite the expression.

$\frac{16}{81}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{81}$

Decimal Form:

$0.19753086 \dots$